Numerical simulation of dendritic growth
- 1 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (4), 2148-2157
- https://doi.org/10.1103/physreva.38.2148
Abstract
A one-sided diffusion-limited model for dendritic growth in two dimensions is simulated numerically by means of a Green’s function in quasistationary approximation. Anisotropy in the surface tension is found necessary for dendritic growth. Scaling behavior of the growth rate and tip radius is found as function of the undercooling and anisotropy, in agreement with recent results for needle crystals. The sidebranches scale with the stability length. The numerical procedure is described in some detail.Keywords
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